Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848k |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-18859385426019264 = -1 · 26 · 39 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -6 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33249,7007240] |
[a1,a2,a3,a4,a6] |
Generators |
[-2450426:16738605:10648] |
Generators of the group modulo torsion |
j |
-87126842162368/404222081319 |
j-invariant |
L |
7.4109355153082 |
L(r)(E,1)/r! |
Ω |
0.33596440090195 |
Real period |
R |
11.029346402728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848s1 35616p1 |
Quadratic twists by: -4 -3 |